7 papers
LeanFlow: A Case Study in Workflow-Driven Lean Autoformalization
Lazar Milikic, Simon Guilloud, Khanh Nguyen +1
We present and evaluate LeanFlow, an LLM agent system specialized for translating mathematical papers into buildable Lean projects. Recent verifier-in-the-loop systems show that la…
Orthologic for SAT Solving
Vladislas de Haldat, Simon Guilloud, Viktor KunÄak
We present a new algorithm for deciding formula entailment in orthologic (a sound approximation of classical logic) that avoids the costly preprocessing phase of prior implementati…
Are Dependent Types in Set Theory Feasible?
Yunsong Yang, Simon Guilloud, Viktor KunÄak
Following the types-as-sets paradigm, we present a mechanized embedding of dependent function types with a hierarchy of universes into schematic first-order logic with equality, wi…
RLMEval: Evaluating Research-Level Neural Theorem Proving
Auguste Poiroux, Antoine Bosselut, Viktor KunÄak
Despite impressive results on curated benchmarks, the practical impact of large language models (LLMs) on research-level neural theorem proving and proof autoformalization is still…
Interpolation and Quantifiers in Ortholattices
Simon Guilloud, Sankalp Gambhir, Viktor KunÄak
We study quantifiers and interpolation properties in \emph{orthologic}, a non-distributive weakening of classical logic that is sound for formula validity with respect to classical…
Orthologic Type Systems
Simon Guilloud, Viktor KunÄak
We propose to use orthologic as the basis for designing type systems supporting intersection, union, and negation types in the presence of subtyping assumptions. We show how to ext…